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math.AG1998
Convolution structures and arithmetic cohomology
Alexandr Borisov
In this paper we construct arithmetic analogs of the Riemann-Roch theorem and Serre's duality for line bundles. This improves on the works of Tate and van der Geer - Schoof. We def…
math.AG1998
On classification of toric singularities
Alexander Borisov
In 1988 S. Mori, D. Morrison, and I. Morrison gave a computer-based conjectural classification of four-dimensional cyclic quotient singularities of prime index. It was partially pr…